Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Let ABC be a triangle. Let A', B', and C' be the intersections of the incircle with BC, CA, and AB, respectively. Let A'', B'', and C'' be the reflections of A', B', and C' across the incenter. Then AA'', BB'', and CC'' are concurrent.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

See problem 18 in Classical Theorems in Plane Geometry.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send